引力常数随时间变化对双星轨道演变的长期效应(椭圆轨道情形)

给出了以偏近点角为自变量的变引力常数的摄动方程组的解.解包括轨道半长轴的长期和周期变化项,其他轨道根数在一阶解中无长期项,只有周期项.近星点经度和平经度在二阶解中显示长期项变化.给出了由于引力常数变化对双星轨道演变情况的数值估计,对结果做了讨论并给出结论.

Secular Effect of Evolution of the Orbits of Binaries Induced by the Variation of Gravitational Constant with Time (The Case for the Elliptical Orbit)

The solutions of the equations with the variable gravitational constant are given by taking the eccentric anomaly as independent variable.The solutions include the secular and periodic variations in semi-major axis,and other orbital elements only exhibit periodic variations in the first-order solutions.The longitude of periastron and mean longitude exhibit secular variations in the second-order solutions.The numerical estimations for the case of evolution of the orbits of six binaries are given.The results ...